Noahlumadue31idn
Answered

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Which is a solution to the equation?

[tex]\[
(x-3)(x-5)=35
\][/tex]

A. [tex]\(x=-8\)[/tex]
B. [tex]\(x=-5\)[/tex]
C. [tex]\(x=2\)[/tex]
D. [tex]\(x=10\)[/tex]

Sagot :

GinnyAnsweridn
Let's determine which value of [tex]\( x \)[/tex] from the given options satisfies the equation [tex]\( (x-3)(x-5) = 35 \)[/tex].

We will solve this by substituting each given value into the equation and checking if the equation holds true.

1. For [tex]\( x = -8 \)[/tex]:
[tex]\[ (x-3)(x-5) \Rightarrow (-8-3)(-8-5) = (-11)(-13) = 143 \][/tex]
Which is not equal to 35.

2. For [tex]\( x = -5 \)[/tex]:
[tex]\[ (x-3)(x-5) \Rightarrow (-5-3)(-5-5) = (-8)(-10) = 80 \][/tex]
Which is not equal to 35.

3. For [tex]\( x = 2 \)[/tex]:
[tex]\[ (x-3)(x-5) \Rightarrow (2-3)(2-5) = (-1)(-3) = 3 \][/tex]
Which is not equal to 35.

4. For [tex]\( x = 10 \)[/tex]:
[tex]\[ (x-3)(x-5) \Rightarrow (10-3)(10-5) = (7)(5) = 35 \][/tex]
This is equal to 35.

So the value of [tex]\( x \)[/tex] that satisfies the equation [tex]\( (x-3)(x-5) = 35 \)[/tex] is [tex]\( x = 10 \)[/tex].
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